[FOM] Berkeley and Weyl/Arnon as critics of foundations

While Berkeley's critique confined itself to the methods, he did not
quarrel with any of the results. It is striking that just about everything
that was done with dubious methods in the 17th and 18th centuries survived
essentially intact after the coming of epsilon/delta. Even some of Euler's
seemingly outlandish summations of series (e.g. 1/2 = 1-1+1-1+1-1+...) were
incorporated into summability theory. But Weyl/Arnon advocate a methodology
which at the outset excludes most of set-theoretic mathematics including
work done by such outsiders as Paul Erdös.
Martin